150471901440 has 1728 divisors, whose sum is σ = 681858777600. Its totient is φ = 29812064256.

The previous prime is 150471901429. The next prime is 150471901483. The reversal of 150471901440 is 44109174051.

150471901440 is a `hidden beast` number, since 1 + 50 + 471 + 90 + 14 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 150471901395 and 150471901404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1380476106 + ... + 1380476214.

It is an arithmetic number, because the mean of its divisors is an integer number (394594200).

Almost surely, 2^150471901440 is an apocalyptic number.

150471901440 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 150471901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340929388800).

150471901440 is an abundant number, since it is smaller than the sum of its proper divisors (531386876160).

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

150471901440 is a wasteful number, since it uses less digits than its factorization.

150471901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 150471901440 in words is "one hundred fifty billion, four hundred seventy-one million, nine hundred one thousand, four hundred forty".