42152510400 has 1344 divisors, whose sum is σ = 192350355456. Its totient is φ = 7796736000.

The previous prime is 42152510371. The next prime is 42152510419. The reversal of 42152510400 is 401525124.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 148948659 + ... + 148948941.

It is an arithmetic number, because the mean of its divisors is an integer number (143117824).

Almost surely, 2^42152510400 is an apocalyptic number.

42152510400 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 42152510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96175177728).

42152510400 is an abundant number, since it is smaller than the sum of its proper divisors (150197845056).

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

42152510400 is a wasteful number, since it uses less digits than its factorization.

42152510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 42152510400 in words is "forty-two billion, one hundred fifty-two million, five hundred ten thousand, four hundred".