8052157440 has 528 divisors, whose sum is σ = 31154029920. Its totient is φ = 1911029760.

The previous prime is 8052157433. The next prime is 8052157483. The reversal of 8052157440 is 447512508.

8052157440 is a `hidden beast` number, since 80 + 5 + 2 + 1 + 574 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8052157395 and 8052157404.

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, 14883570 + ... + 14884110.

Almost surely, 2^8052157440 is an apocalyptic number.

8052157440 is a gapful number since it is divisible by the number (80) 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 8052157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15577014960).

8052157440 is an abundant number, since it is smaller than the sum of its proper divisors (23101872480).

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

8052157440 is a wasteful number, since it uses less digits than its factorization.

8052157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 8052157440 is about 89733.8143622570. The cubic root of 8052157440 is about 2004.3370415703.

Adding to 8052157440 its reverse (447512508), we get a palindrome (8499669948).

The spelling of 8052157440 in words is "eight billion, fifty-two million, one hundred fifty-seven thousand, four hundred forty".