40026727054440 has 384 divisors, whose sum is σ = 152092831887360. Its totient is φ = 8939037445632.

The previous prime is 40026727054427. The next prime is 40026727054441. The reversal of 40026727054440 is 4445072762004.

40026727054440 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 67 + 2 + 7 + 0 + 544 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (40026727054441) 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, 69236419 + ... + 69812141.

It is an arithmetic number, because the mean of its divisors is an integer number (396075083040).

Almost surely, 2^{40026727054440} is an apocalyptic number.

40026727054440 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 40026727054440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76046415943680).

40026727054440 is an abundant number, since it is smaller than the sum of its proper divisors (112066104832920).

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

40026727054440 is a wasteful number, since it uses less digits than its factorization.

40026727054440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576381 (or 576374 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The spelling of 40026727054440 in words is "forty trillion, twenty-six billion, seven hundred twenty-seven million, fifty-four thousand, four hundred forty".