1052635069440 has 528 divisors, whose sum is σ = 3847886733600. Its totient is φ = 265335865344.

The previous prime is 1052635069429. The next prime is 1052635069469. The reversal of 1052635069440 is 449605362501.

1052635069440 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 635 + 0 + 6 + 9 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×1052635069440² (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 47 ways as a sum of consecutive naturals, for example, 498169824 + ... + 498171936.

Almost surely, 2^{1052635069440} is an apocalyptic number.

1052635069440 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 1052635069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923943366800).

1052635069440 is an abundant number, since it is smaller than the sum of its proper divisors (2795251664160).

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

1052635069440 is a wasteful number, since it uses less digits than its factorization.

1052635069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1052635069440 in words is "one trillion, fifty-two billion, six hundred thirty-five million, sixty-nine thousand, four hundred forty".