97014020040 has 288 divisors, whose sum is σ = 368250442560. Its totient is φ = 22085280000.

The previous prime is 97014020039. The next prime is 97014020053. The reversal of 97014020040 is 4002041079.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 97014019986 and 97014020013.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4416685 + ... + 4438595.

It is an arithmetic number, because the mean of its divisors is an integer number (1278647370).

Almost surely, 2^97014020040 is an apocalyptic number.

97014020040 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 97014020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184125221280).

97014020040 is an abundant number, since it is smaller than the sum of its proper divisors (271236422520).

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

97014020040 is a wasteful number, since it uses less digits than its factorization.

97014020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22193 (or 22179 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 97014020040 in words is "ninety-seven billion, fourteen million, twenty thousand, forty".