970428119040 has 576 divisors, whose sum is σ = 3552043622400. Its totient is φ = 244351696896.

The previous prime is 970428119009. The next prime is 970428119041. The reversal of 970428119040 is 40911824079.

It is a happy number.

970428119040 is a `hidden beast` number, since 9 + 70 + 428 + 119 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (970428119041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670647597 + ... + 670649043.

It is an arithmetic number, because the mean of its divisors is an integer number (6166742400).

Almost surely, 2^970428119040 is an apocalyptic number.

970428119040 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 970428119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776021811200).

970428119040 is an abundant number, since it is smaller than the sum of its proper divisors (2581615503360).

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

970428119040 is a wasteful number, since it uses less digits than its factorization.

970428119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 970428119040 in words is "nine hundred seventy billion, four hundred twenty-eight million, one hundred nineteen thousand, forty".