140144390400 has 648 divisors, whose sum is σ = 541646624064. Its totient is φ = 31817318400.

The previous prime is 140144390377. The next prime is 140144390401. The reversal of 140144390400 is 4093441041.

It is a super-2 number, since 2×140144390400² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (140144390401) 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, 170284389 + ... + 170285211.

Almost surely, 2^140144390400 is an apocalyptic number.

140144390400 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 140144390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270823312032).

140144390400 is an abundant number, since it is smaller than the sum of its proper divisors (401502233664).

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

140144390400 is a wasteful number, since it uses less digits than its factorization.

140144390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 140144390400 in words is "one hundred forty billion, one hundred forty-four million, three hundred ninety thousand, four hundred".