42646044672000 has 2560 divisors, whose sum is σ = 197235447552000. Its totient is φ = 8833204224000.

The previous prime is 42646044671999. The next prime is 42646044672019. The reversal of 42646044672000 is 27644064624.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136249343844 + ... + 136249344156.

It is an arithmetic number, because the mean of its divisors is an integer number (77045096700).

Almost surely, 2^{42646044672000} is an apocalyptic number.

42646044672000 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 42646044672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98617723776000).

42646044672000 is an abundant number, since it is smaller than the sum of its proper divisors (154589402880000).

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

42646044672000 is an frugal number, since it uses more digits than its factorization.

42646044672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 42646044672000 in words is "forty-two trillion, six hundred forty-six billion, forty-four million, six hundred seventy-two thousand".