1050945062400 has 1260 divisors, whose sum is σ = 4061174771676. Its totient is φ = 269335756800.

The previous prime is 1050945062393. The next prime is 1050945062429. The reversal of 1050945062400 is 42605490501.

1050945062400 is a `hidden beast` number, since 1 + 0 + 509 + 4 + 50 + 62 + 40 + 0 = 666.

It is a super-2 number, since 2×1050945062400² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 15685747167 + ... + 15685747233.

Almost surely, 2^{1050945062400} is an apocalyptic number.

1050945062400 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 1050945062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030587385838).

1050945062400 is an abundant number, since it is smaller than the sum of its proper divisors (3010229709276).

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

1050945062400 is an frugal number, since it uses more digits than its factorization.

1050945062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1050945062400 in words is "one trillion, fifty billion, nine hundred forty-five million, sixty-two thousand, four hundred".