81474980400 has 360 divisors, whose sum is σ = 309656894976. Its totient is φ = 19673894400.

The previous prime is 81474980371. The next prime is 81474980429. The reversal of 81474980400 is 408947418.

81474980400 is a `hidden beast` number, since 81 + 47 + 498 + 0 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (81474980371) and next prime (81474980429).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 10410889 + ... + 10418711.

Almost surely, 2^81474980400 is an apocalyptic number.

81474980400 is a gapful number since it is divisible by the number (80) 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 81474980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154828447488).

81474980400 is an abundant number, since it is smaller than the sum of its proper divisors (228181914576).

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

81474980400 is a wasteful number, since it uses less digits than its factorization.

81474980400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8121 (or 8107 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 81474980400 in words is "eighty-one billion, four hundred seventy-four million, nine hundred eighty thousand, four hundred".