42729648400 has 60 divisors (see below), whose sum is σ = 107121393792. Its totient is φ = 16348731520.

The previous prime is 42729648361. The next prime is 42729648413. The reversal of 42729648400 is 484692724.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2313064 + ... + 2331463.

Almost surely, 2^42729648400 is an apocalyptic number.

42729648400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42729648400 is an abundant number, since it is smaller than the sum of its proper divisors (64391745392).

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

42729648400 is a wasteful number, since it uses less digits than its factorization.

42729648400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4644568 (or 4644557 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 42729648400 in words is "forty-two billion, seven hundred twenty-nine million, six hundred forty-eight thousand, four hundred".