42029416400 has 30 divisors (see below), whose sum is σ = 100975673862. Its totient is φ = 16811766400.

The previous prime is 42029416399. The next prime is 42029416433. The reversal of 42029416400 is 461492024.

It can be written as a sum of positive squares in 3 ways, for example, as 13940997184 + 28088419216 = 118072^2 + 167596^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52536371 + ... + 52537170.

Almost surely, 2^42029416400 is an apocalyptic number.

42029416400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42029416400 is an abundant number, since it is smaller than the sum of its proper divisors (58946257462).

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

42029416400 is a wasteful number, since it uses less digits than its factorization.

42029416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105073559 (or 105073548 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 42029416400 in words is "forty-two billion, twenty-nine million, four hundred sixteen thousand, four hundred".