42426497433600 has 3672 divisors, whose sum is σ = 194675761255920. Its totient is φ = 9025156546560.

The previous prime is 42426497433587. The next prime is 42426497433667. The reversal of 42426497433600 is 633479462424.

42426497433600 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 64 + 97 + 433 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1146662092782 + ... + 1146662092818.

Almost surely, 2^{42426497433600} is an apocalyptic number.

42426497433600 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 42426497433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97337880627960).

42426497433600 is an abundant number, since it is smaller than the sum of its proper divisors (152249263822320).

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

42426497433600 is an equidigital number, since it uses as much as digits as its factorization.

42426497433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 54.

The spelling of 42426497433600 in words is "forty-two trillion, four hundred twenty-six billion, four hundred ninety-seven million, four hundred thirty-three thousand, six hundred".