1052341597440 has 1152 divisors, whose sum is σ = 4363896176640. Its totient is φ = 235184947200.

The previous prime is 1052341597429. The next prime is 1052341597583. The reversal of 1052341597440 is 447951432501.

1052341597440 is a `hidden beast` number, since 1 + 0 + 52 + 3 + 4 + 1 + 597 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1052341597440² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3383734885 + ... + 3383735195.

It is an arithmetic number, because the mean of its divisors is an integer number (3788104320).

Almost surely, 2^{1052341597440} is an apocalyptic number.

1052341597440 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 1052341597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181948088320).

1052341597440 is an abundant number, since it is smaller than the sum of its proper divisors (3311554579200).

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

1052341597440 is a wasteful number, since it uses less digits than its factorization.

1052341597440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1052341597440 in words is "one trillion, fifty-two billion, three hundred forty-one million, five hundred ninety-seven thousand, four hundred forty".