431918473271040 has 1152 divisors, whose sum is σ = 1780085354987520. Its totient is φ = 97135476867072.

The previous prime is 431918473271017. The next prime is 431918473271041. The reversal of 431918473271040 is 40172374819134.

431918473271040 is a `hidden beast` number, since 4 + 3 + 191 + 84 + 7 + 327 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431918473271041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3745105857 + ... + 3745221183.

It is an arithmetic number, because the mean of its divisors is an integer number (1545212981760).

Almost surely, 2^{431918473271040} is an apocalyptic number.

431918473271040 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 431918473271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890042677493760).

431918473271040 is an abundant number, since it is smaller than the sum of its proper divisors (1348166881716480).

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

431918473271040 is a wasteful number, since it uses less digits than its factorization.

431918473271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115614 (or 115594 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 431918473271040 in words is "four hundred thirty-one trillion, nine hundred eighteen billion, four hundred seventy-three million, two hundred seventy-one thousand, forty".