1049535960480 has 720 divisors, whose sum is σ = 4496895760896. Its totient is φ = 225776885760.

The previous prime is 1049535960469. The next prime is 1049535960521. The reversal of 1049535960480 is 840695359401.

1049535960480 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 5 + 3 + 596 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1049535960480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26198065 + ... + 26238095.

Almost surely, 2^{1049535960480} is an apocalyptic number.

1049535960480 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 1049535960480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248447880448).

1049535960480 is an abundant number, since it is smaller than the sum of its proper divisors (3447359800416).

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

1049535960480 is a wasteful number, since it uses less digits than its factorization.

1049535960480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40099 (or 40065 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 1049535960480 in words is "one trillion, forty-nine billion, five hundred thirty-five million, nine hundred sixty thousand, four hundred eighty".