1052749600240 has 40 divisors (see below), whose sum is σ = 2635923040128. Its totient is φ = 388707544320.

The previous prime is 1052749600229. The next prime is 1052749600261. The reversal of 1052749600240 is 420069472501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1052749600240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1052749600193 and 1052749600202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 506128576 + ... + 506130655.

Almost surely, 2^{1052749600240} is an apocalyptic number.

1052749600240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052749600240 is an abundant number, since it is smaller than the sum of its proper divisors (1583173439888).

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

1052749600240 is a wasteful number, since it uses less digits than its factorization.

1052749600240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012259257 (or 1012259251 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 1052749600240 in words is "one trillion, fifty-two billion, seven hundred forty-nine million, six hundred thousand, two hundred forty".