40127038398720 has 1152 divisors, whose sum is σ = 175780386862080. Its totient is φ = 8441018449920.

The previous prime is 40127038398709. The next prime is 40127038398751. The reversal of 40127038398720 is 2789383072104.

40127038398720 is a `hidden beast` number, since 40 + 1 + 2 + 70 + 383 + 98 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×40127038398720² (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 127 ways as a sum of consecutive naturals, for example, 1059832590 + ... + 1059870450.

Almost surely, 2^{40127038398720} is an apocalyptic number.

40127038398720 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 40127038398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87890193431040).

40127038398720 is an abundant number, since it is smaller than the sum of its proper divisors (135653348463360).

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

40127038398720 is a wasteful number, since it uses less digits than its factorization.

40127038398720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38248 (or 38228 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 40127038398720 in words is "forty trillion, one hundred twenty-seven billion, thirty-eight million, three hundred ninety-eight thousand, seven hundred twenty".