970471031040 has 720 divisors, whose sum is σ = 4006007736192. Its totient is φ = 219731263488.

The previous prime is 970471031039. The next prime is 970471031083. The reversal of 970471031040 is 40130174079.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 970471030986 and 970471031004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77650072 + ... + 77662568.

Almost surely, 2^970471031040 is an apocalyptic number.

970471031040 is a gapful number since it is divisible by the number (90) 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 970471031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003003868096).

970471031040 is an abundant number, since it is smaller than the sum of its proper divisors (3035536705152).

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

970471031040 is a wasteful number, since it uses less digits than its factorization.

970471031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12644 (or 12621 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 970471031040 in words is "nine hundred seventy billion, four hundred seventy-one million, thirty-one thousand, forty".