40273906296960 has 576 divisors, whose sum is σ = 163824166396800. Its totient is φ = 9088934400000.

The previous prime is 40273906296947. The next prime is 40273906296961. The reversal of 40273906296960 is 6969260937204.

40273906296960 is a `hidden beast` number, since 40 + 2 + 7 + 390 + 62 + 96 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (40273906296961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21393835 + ... + 23200085.

It is an arithmetic number, because the mean of its divisors is an integer number (284416955550).

Almost surely, 2^{40273906296960} is an apocalyptic number.

40273906296960 is a gapful number since it is divisible by the number (40) 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 40273906296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81912083198400).

40273906296960 is an abundant number, since it is smaller than the sum of its proper divisors (123550260099840).

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

40273906296960 is a wasteful number, since it uses less digits than its factorization.

40273906296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806369 (or 1806347 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 40273906296960 in words is "forty trillion, two hundred seventy-three billion, nine hundred six million, two hundred ninety-six thousand, nine hundred sixty".