1942815151200 has 864 divisors, whose sum is σ = 8242185466368. Its totient is φ = 392781312000.

The previous prime is 1942815151177. The next prime is 1942815151219. The reversal of 1942815151200 is 21515182491.

It is a super-2 number, since 2×1942815151200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47842905 + ... + 47883495.

It is an arithmetic number, because the mean of its divisors is an integer number (9539566512).

Almost surely, 2^{1942815151200} is an apocalyptic number.

1942815151200 is a gapful number since it is divisible by the number (10) 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 1942815151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121092733184).

1942815151200 is an abundant number, since it is smaller than the sum of its proper divisors (6299370315168).

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

1942815151200 is a wasteful number, since it uses less digits than its factorization.

1942815151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40676 (or 40656 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 39.

The spelling of 1942815151200 in words is "one trillion, nine hundred forty-two billion, eight hundred fifteen million, one hundred fifty-one thousand, two hundred".