140409145200 has 120 divisors (see below), whose sum is σ = 450221749936. Its totient is φ = 37405440000.

The previous prime is 140409145193. The next prime is 140409145207. The reversal of 140409145200 is 2541904041.

It is an interprime number because it is at equal distance from previous prime (140409145193) and next prime (140409145207).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140409145207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1167900 + ... + 1282500.

Almost surely, 2^140409145200 is an apocalyptic number.

140409145200 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 140409145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225110874968).

140409145200 is an abundant number, since it is smaller than the sum of its proper divisors (309812604736).

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

140409145200 is a wasteful number, since it uses less digits than its factorization.

140409145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115643 (or 115632 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 140409145200 in words is "one hundred forty billion, four hundred nine million, one hundred forty-five thousand, two hundred".