40467893966280 has 384 divisors, whose sum is σ = 156074531760000. Its totient is φ = 9294061201920.

The previous prime is 40467893966257. The next prime is 40467893966281. The reversal of 40467893966280 is 8266939876404.

40467893966280 is a `hidden beast` number, since 4 + 0 + 467 + 89 + 3 + 9 + 6 + 6 + 2 + 80 = 666.

It is a super-3 number, since 3×40467893966280³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 40467893966199 and 40467893966208.

It is not an unprimeable number, because it can be changed into a prime (40467893966281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5666335 + ... + 10632174.

It is an arithmetic number, because the mean of its divisors is an integer number (406444093125).

Almost surely, 2^{40467893966280} is an apocalyptic number.

40467893966280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40467893966280 is an abundant number, since it is smaller than the sum of its proper divisors (115606637793720).

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

40467893966280 is a wasteful number, since it uses less digits than its factorization.

40467893966280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16298570 (or 16298549 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 40467893966280 in words is "forty trillion, four hundred sixty-seven billion, eight hundred ninety-three million, nine hundred sixty-six thousand, two hundred eighty".