51435242451040 has 192 divisors, whose sum is σ = 148117604793984. Its totient is φ = 16476439707648.

The previous prime is 51435242451031. The next prime is 51435242451053. The reversal of 51435242451040 is 4015424253415.

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 = 51435242450984 and 51435242451002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7250757 + ... + 12467716.

It is an arithmetic number, because the mean of its divisors is an integer number (771445858302).

Almost surely, 2^{51435242451040} is an apocalyptic number.

It is an amenable number.

51435242451040 is an abundant number, since it is smaller than the sum of its proper divisors (96682362342944).

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

51435242451040 is a wasteful number, since it uses less digits than its factorization.

51435242451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19718649 (or 19718641 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

The spelling of 51435242451040 in words is "fifty-one trillion, four hundred thirty-five billion, two hundred forty-two million, four hundred fifty-one thousand, forty".