42777516400 has 30 divisors (see below), whose sum is σ = 102772984112. Its totient is φ = 17111006400.

The previous prime is 42777516361. The next prime is 42777516407. The reversal of 42777516400 is 461577724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42777516407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53471496 + ... + 53472295.

Almost surely, 2^42777516400 is an apocalyptic number.

42777516400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42777516400 is an abundant number, since it is smaller than the sum of its proper divisors (59995467712).

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

42777516400 is a wasteful number, since it uses less digits than its factorization.

42777516400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106943809 (or 106943798 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 43.

The spelling of 42777516400 in words is "forty-two billion, seven hundred seventy-seven million, five hundred sixteen thousand, four hundred".