431578978740 has 1008 divisors, whose sum is σ = 1758383424000. Its totient is φ = 88062266880.

The previous prime is 431578978739. The next prime is 431578978741. The reversal of 431578978740 is 47879875134.

431578978740 is a `hidden beast` number, since 431 + 5 + 7 + 89 + 7 + 87 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (431578978739) and next prime (431578978741).

It is a super-2 number, since 2×431578978740² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431578978741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 287910511 + ... + 287912009.

It is an arithmetic number, because the mean of its divisors is an integer number (1744428000).

Almost surely, 2^431578978740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431578978740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879191712000).

431578978740 is an abundant number, since it is smaller than the sum of its proper divisors (1326804445260).

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

431578978740 is a wasteful number, since it uses less digits than its factorization.

431578978740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 431578978740 in words is "four hundred thirty-one billion, five hundred seventy-eight million, nine hundred seventy-eight thousand, seven hundred forty".