431465138690040 has 384 divisors, whose sum is σ = 1726075183996800. Its totient is φ = 91023081799680.

The previous prime is 431465138690021. The next prime is 431465138690143. The reversal of 431465138690040 is 40096831564134.

It is a happy number.

431465138690040 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 6 + 513 + 86 + 9 + 0 + 0 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263918656 + ... + 265548464.

It is an arithmetic number, because the mean of its divisors is an integer number (4494987458325).

Almost surely, 2^{431465138690040} is an apocalyptic number.

431465138690040 is a gapful number since it is divisible by the number (40) 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 431465138690040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863037591998400).

431465138690040 is an abundant number, since it is smaller than the sum of its proper divisors (1294610045306760).

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

431465138690040 is a wasteful number, since it uses less digits than its factorization.

431465138690040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637927 (or 1637920 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 431465138690040 in words is "four hundred thirty-one trillion, four hundred sixty-five billion, one hundred thirty-eight million, six hundred ninety thousand, forty".