972929543040 has 3072 divisors, whose sum is σ = 4640702976000. Its totient is φ = 193133445120.

The previous prime is 972929543029. The next prime is 972929543093. The reversal of 972929543040 is 40345929279.

972929543040 is a `hidden beast` number, since 9 + 7 + 2 + 92 + 9 + 543 + 0 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15949664610 + ... + 15949664670.

It is an arithmetic number, because the mean of its divisors is an integer number (1510645500).

Almost surely, 2^972929543040 is an apocalyptic number.

972929543040 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 972929543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320351488000).

972929543040 is an abundant number, since it is smaller than the sum of its proper divisors (3667773432960).

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

972929543040 is a wasteful number, since it uses less digits than its factorization.

972929543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 972929543040 in words is "nine hundred seventy-two billion, nine hundred twenty-nine million, five hundred forty-three thousand, forty".