42148955750400 has 1020 divisors, whose sum is σ = 156910225791792. Its totient is φ = 11231121899520.

The previous prime is 42148955750323. The next prime is 42148955750501. The reversal of 42148955750400 is 405755984124.

42148955750400 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 89 + 5 + 57 + 504 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32248626547 + ... + 32248627853.

Almost surely, 2^{42148955750400} is an apocalyptic number.

42148955750400 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 42148955750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78455112895896).

42148955750400 is an abundant number, since it is smaller than the sum of its proper divisors (114761270041392).

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

42148955750400 is an frugal number, since it uses more digits than its factorization.

42148955750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 42148955750400 in words is "forty-two trillion, one hundred forty-eight billion, nine hundred fifty-five million, seven hundred fifty thousand, four hundred".