31406404803840 has 1440 divisors, whose sum is σ = 123907377065472. Its totient is φ = 7532642304000.

The previous prime is 31406404803817. The next prime is 31406404803841. The reversal of 31406404803840 is 4830840460413.

31406404803840 is a `hidden beast` number, since 3 + 1 + 40 + 64 + 0 + 480 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31406404803841) 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 159 ways as a sum of consecutive naturals, for example, 72868688425 + ... + 72868688855.

Almost surely, 2^{31406404803840} is an apocalyptic number.

31406404803840 is a gapful number since it is divisible by the number (30) 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 31406404803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61953688532736).

31406404803840 is an abundant number, since it is smaller than the sum of its proper divisors (92500972261632).

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

31406404803840 is a wasteful number, since it uses less digits than its factorization.

31406404803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 31406404803840 in words is "thirty-one trillion, four hundred six billion, four hundred four million, eight hundred three thousand, eight hundred forty".