42212510400 has 168 divisors, whose sum is σ = 140443939584. Its totient is φ = 11098035200.

The previous prime is 42212510381. The next prime is 42212510419. The reversal of 42212510400 is 401521224.

It is an interprime number because it is at equal distance from previous prime (42212510381) and next prime (42212510419).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278869 + ... + 402731.

Almost surely, 2^42212510400 is an apocalyptic number.

42212510400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42212510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70221969792).

42212510400 is an abundant number, since it is smaller than the sum of its proper divisors (98231429184).

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

42212510400 is a wasteful number, since it uses less digits than its factorization.

42212510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123959 (or 123944 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The spelling of 42212510400 in words is "forty-two billion, two hundred twelve million, five hundred ten thousand, four hundred".