131405379840 has 432 divisors, whose sum is σ = 538852099968. Its totient is φ = 30035017728.

The previous prime is 131405379821. The next prime is 131405379863. The reversal of 131405379840 is 48973504131.

131405379840 is a `hidden beast` number, since 1 + 31 + 4 + 0 + 537 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2147104 + ... + 2207456.

It is an arithmetic number, because the mean of its divisors is an integer number (1247342824).

Almost surely, 2^131405379840 is an apocalyptic number.

131405379840 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 131405379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269426049984).

131405379840 is an abundant number, since it is smaller than the sum of its proper divisors (407446720128).

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

131405379840 is an frugal number, since it uses more digits than its factorization.

131405379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60396 (or 60370 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 131405379840 in words is "one hundred thirty-one billion, four hundred five million, three hundred seventy-nine thousand, eight hundred forty".