42652037333400 has 384 divisors, whose sum is σ = 151509657047040. Its totient is φ = 9824823360000.

The previous prime is 42652037333383. The next prime is 42652037333461. The reversal of 42652037333400 is 433373025624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21991419 + ... + 23852181.

It is an arithmetic number, because the mean of its divisors is an integer number (394556398560).

Almost surely, 2^{42652037333400} is an apocalyptic number.

42652037333400 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 42652037333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75754828523520).

42652037333400 is an abundant number, since it is smaller than the sum of its proper divisors (108857619713640).

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

42652037333400 is a wasteful number, since it uses less digits than its factorization.

42652037333400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860967 (or 1860958 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 42.

The spelling of 42652037333400 in words is "forty-two trillion, six hundred fifty-two billion, thirty-seven million, three hundred thirty-three thousand, four hundred".