97481041442640 has 1600 divisors, whose sum is σ = 391979908108800. Its totient is φ = 22313657253888.

The previous prime is 97481041442639. The next prime is 97481041442651. The reversal of 97481041442640 is 4624414018479.

97481041442640 is a `hidden beast` number, since 9 + 74 + 8 + 104 + 1 + 4 + 426 + 40 = 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 319 ways as a sum of consecutive naturals, for example, 4352403922 + ... + 4352426318.

It is an arithmetic number, because the mean of its divisors is an integer number (244987442568).

Almost surely, 2^{97481041442640} is an apocalyptic number.

97481041442640 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 97481041442640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195989954054400).

97481041442640 is an abundant number, since it is smaller than the sum of its proper divisors (294498866666160).

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

97481041442640 is a wasteful number, since it uses less digits than its factorization.

97481041442640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22546 (or 22531 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 97481041442640 in words is "ninety-seven trillion, four hundred eighty-one billion, forty-one million, four hundred forty-two thousand, six hundred forty".