40149876480 has 576 divisors, whose sum is σ = 159026208768. Its totient is φ = 8422686720.

The previous prime is 40149876461. The next prime is 40149876499. The reversal of 40149876480 is 8467894104.

It is an interprime number because it is at equal distance from previous prime (40149876461) and next prime (40149876499).

It is a super-2 number, since 2×40149876480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18734289 + ... + 18736431.

It is an arithmetic number, because the mean of its divisors is an integer number (276087168).

Almost surely, 2^40149876480 is an apocalyptic number.

40149876480 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 40149876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79513104384).

40149876480 is an abundant number, since it is smaller than the sum of its proper divisors (118876332288).

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

40149876480 is a wasteful number, since it uses less digits than its factorization.

40149876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 40149876480 in words is "forty billion, one hundred forty-nine million, eight hundred seventy-six thousand, four hundred eighty".