40727751701400 has 120 divisors (see below), whose sum is σ = 141453515456220. Its totient is φ = 10860733782720.

The previous prime is 40727751701347. The next prime is 40727751701447. The reversal of 40727751701400 is 410715772704.

40727751701400 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 7 + 75 + 170 + 1 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1257013174 + ... + 1257045573.

Almost surely, 2^{40727751701400} is an apocalyptic number.

40727751701400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40727751701400 is an abundant number, since it is smaller than the sum of its proper divisors (100725763754820).

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

40727751701400 is a wasteful number, since it uses less digits than its factorization.

40727751701400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514058775 (or 2514058757 counting only the distinct ones).

The product of its (nonzero) digits is 384160, while the sum is 45.

The spelling of 40727751701400 in words is "forty trillion, seven hundred twenty-seven billion, seven hundred fifty-one million, seven hundred one thousand, four hundred".