1052405767440 has 480 divisors, whose sum is σ = 3684863010816. Its totient is φ = 268949237760.

The previous prime is 1052405767423. The next prime is 1052405767513. The reversal of 1052405767440 is 447675042501.

1052405767440 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 4 + 0 + 576 + 74 + 4 + 0 = 666.

It is a super-2 number, since 2×1052405767440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 544440714 + ... + 544442646.

Almost surely, 2^{1052405767440} is an apocalyptic number.

1052405767440 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 1052405767440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842431505408).

1052405767440 is an abundant number, since it is smaller than the sum of its proper divisors (2632457243376).

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

1052405767440 is a wasteful number, since it uses less digits than its factorization.

1052405767440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 1052405767440 in words is "one trillion, fifty-two billion, four hundred five million, seven hundred sixty-seven thousand, four hundred forty".