73995081431040 has 3840 divisors, whose sum is σ = 342143657856000. Its totient is φ = 14852523294720.

The previous prime is 73995081431039. The next prime is 73995081431053. The reversal of 73995081431040 is 4013418059937.

73995081431040 is a `hidden beast` number, since 7 + 3 + 9 + 95 + 0 + 81 + 431 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×73995081431040² (a number of 29 digits) contains 22 as substring.

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, 275074652026 + ... + 275074652294.

It is an arithmetic number, because the mean of its divisors is an integer number (89099910900).

Almost surely, 2^{73995081431040} is an apocalyptic number.

73995081431040 is a gapful number since it is divisible by the number (70) 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 73995081431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171071828928000).

73995081431040 is an abundant number, since it is smaller than the sum of its proper divisors (268148576424960).

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

73995081431040 is a wasteful number, since it uses less digits than its factorization.

73995081431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 73995081431040 in words is "seventy-three trillion, nine hundred ninety-five billion, eighty-one million, four hundred thirty-one thousand, forty".