149791334400 has 672 divisors, whose sum is σ = 557766443520. Its totient is φ = 39406141440.

The previous prime is 149791334393. The next prime is 149791334447. The reversal of 149791334400 is 4433197941.

149791334400 is a `hidden beast` number, since 1 + 4 + 9 + 79 + 133 + 440 + 0 = 666.

It is a super-2 number, since 2×149791334400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569548669 + ... + 569548931.

Almost surely, 2^149791334400 is an apocalyptic number.

149791334400 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 149791334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278883221760).

149791334400 is an abundant number, since it is smaller than the sum of its proper divisors (407975109120).

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

149791334400 is a wasteful number, since it uses less digits than its factorization.

149791334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 149791334400 in words is "one hundred forty-nine billion, seven hundred ninety-one million, three hundred thirty-four thousand, four hundred".