149742046310400 has 936 divisors, whose sum is σ = 559635871150720. Its totient is φ = 39685160632320.

The previous prime is 149742046310393. The next prime is 149742046310407. The reversal of 149742046310400 is 4013640247941.

149742046310400 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 4 + 2 + 0 + 4 + 631 + 0 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (149742046310393) and next prime (149742046310407).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149742046310407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4055943141 + ... + 4055980059.

Almost surely, 2^{149742046310400} is an apocalyptic number.

149742046310400 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 149742046310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279817935575360).

149742046310400 is an abundant number, since it is smaller than the sum of its proper divisors (409893824840320).

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

149742046310400 is an equidigital number, since it uses as much as digits as its factorization.

149742046310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37131 (or 37092 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 149742046310400 in words is "one hundred forty-nine trillion, seven hundred forty-two billion, forty-six million, three hundred ten thousand, four hundred".