514053527040 has 800 divisors, whose sum is σ = 1914616028160. Its totient is φ = 131681894400.

The previous prime is 514053527033. The next prime is 514053527137. The reversal of 514053527040 is 40725350415.

514053527040 is a `hidden beast` number, since 5 + 1 + 40 + 53 + 527 + 0 + 40 = 666.

It is a super-2 number, since 2×514053527040² (a number of 24 digits) contains 22 as substring.

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 = 514053526986 and 514053527004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1356341571 + ... + 1356341949.

Almost surely, 2^514053527040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514053527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957308014080).

514053527040 is an abundant number, since it is smaller than the sum of its proper divisors (1400562501120).

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

514053527040 is a wasteful number, since it uses less digits than its factorization.

514053527040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

Adding to 514053527040 its reverse (40725350415), we get a palindrome (554778877455).

The spelling of 514053527040 in words is "five hundred fourteen billion, fifty-three million, five hundred twenty-seven thousand, forty".