201440153150400 has 168 divisors, whose sum is σ = 683680934052720. Its totient is φ = 51865050890240.

The previous prime is 201440153150399. The next prime is 201440153150443. The reversal of 201440153150400 is 4051351044102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 723424569 + ... + 723702968.

Almost surely, 2^{201440153150400} is an apocalyptic number.

201440153150400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201440153150400 is an abundant number, since it is smaller than the sum of its proper divisors (482240780902320).

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

201440153150400 is a wasteful number, since it uses less digits than its factorization.

201440153150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447127591 (or 1447127576 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 201440153150400 in words is "two hundred one trillion, four hundred forty billion, one hundred fifty-three million, one hundred fifty thousand, four hundred".