40676268441600 has 2160 divisors, whose sum is σ = 168901826979600. Its totient is φ = 9631589990400.

The previous prime is 40676268441587. The next prime is 40676268441671. The reversal of 40676268441600 is 614486267604.

It is a happy number.

40676268441600 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 6 + 26 + 8 + 4 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×40676268441600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 945959731179 + ... + 945959731221.

Almost surely, 2^{40676268441600} is an apocalyptic number.

40676268441600 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 40676268441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84450913489800).

40676268441600 is an abundant number, since it is smaller than the sum of its proper divisors (128225558538000).

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

40676268441600 is an frugal number, since it uses more digits than its factorization.

40676268441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 40676268441600 in words is "forty trillion, six hundred seventy-six billion, two hundred sixty-eight million, four hundred forty-one thousand, six hundred".