1050457040640 has 1296 divisors, whose sum is σ = 4379599590912. Its totient is φ = 236436185088.

The previous prime is 1050457040627. The next prime is 1050457040641. The reversal of 1050457040640 is 460407540501.

1050457040640 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 4 + 5 + 7 + 0 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×1050457040640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1050457040595 and 1050457040604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050457040641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6290161837 + ... + 6290162003.

It is an arithmetic number, because the mean of its divisors is an integer number (3379320672).

Almost surely, 2^{1050457040640} is an apocalyptic number.

1050457040640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1050457040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189799795456).

1050457040640 is an abundant number, since it is smaller than the sum of its proper divisors (3329142550272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1050457040640 is an frugal number, since it uses more digits than its factorization.

1050457040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 1050457040640 in words is "one trillion, fifty billion, four hundred fifty-seven million, forty thousand, six hundred forty".