40150508149440 has 1344 divisors, whose sum is σ = 155658673078272. Its totient is φ = 9432126259200.

The previous prime is 40150508149439. The next prime is 40150508149463. The reversal of 40150508149440 is 4494180505104.

40150508149440 is a `hidden beast` number, since 4 + 0 + 1 + 5 + 0 + 508 + 14 + 94 + 40 = 666.

It is a super-2 number, since 2×40150508149440² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33655077484 + ... + 33655078676.

It is an arithmetic number, because the mean of its divisors is an integer number (115817465088).

Almost surely, 2^{40150508149440} is an apocalyptic number.

40150508149440 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 40150508149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77829336539136).

40150508149440 is an abundant number, since it is smaller than the sum of its proper divisors (115508164928832).

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

40150508149440 is a wasteful number, since it uses less digits than its factorization.

40150508149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 40150508149440 in words is "forty trillion, one hundred fifty billion, five hundred eight million, one hundred forty-nine thousand, four hundred forty".