140405413010400 has 216 divisors, whose sum is σ = 497696763118464. Its totient is φ = 37245414604800.

The previous prime is 140405413010323. The next prime is 140405413010437. The reversal of 140405413010400 is 4010314504041.

140405413010400 is a `hidden beast` number, since 1 + 4 + 0 + 40 + 541 + 30 + 10 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49673889 + ... + 52424288.

It is an arithmetic number, because the mean of its divisors is an integer number (2304151681104).

Almost surely, 2^{140405413010400} is an apocalyptic number.

140405413010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140405413010400 is an abundant number, since it is smaller than the sum of its proper divisors (357291350108064).

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

140405413010400 is a wasteful number, since it uses less digits than its factorization.

140405413010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102098394 (or 102098378 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 140405413010400 its reverse (4010314504041), we get a palindrome (144415727514441).

The spelling of 140405413010400 in words is "one hundred forty trillion, four hundred five billion, four hundred thirteen million, ten thousand, four hundred".