150402450002400 has 180 divisors, whose sum is σ = 548488490474232. Its totient is φ = 40107319983360.

The previous prime is 150402450002333. The next prime is 150402450002407. The reversal of 150402450002400 is 4200054204051.

150402450002400 is a `hidden beast` number, since 15 + 0 + 4 + 0 + 245 + 0 + 0 + 0 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150402450002407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1160447932 + ... + 1160577531.

Almost surely, 2^{150402450002400} is an apocalyptic number.

150402450002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150402450002400 is an abundant number, since it is smaller than the sum of its proper divisors (398086040471832).

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

150402450002400 is a wasteful number, since it uses less digits than its factorization.

150402450002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321025495 (or 2321025473 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 150402450002400 in words is "one hundred fifty trillion, four hundred two billion, four hundred fifty million, two thousand, four hundred".