40149778464 has 192 divisors, whose sum is σ = 121080960000. Its totient is φ = 12930140160.

The previous prime is 40149778463. The next prime is 40149778469. The reversal of 40149778464 is 46487794104.

40149778464 is a `hidden beast` number, since 40 + 1 + 497 + 78 + 46 + 4 = 666.

It is a super-2 number, since 2×40149778464² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 40149778464.

It is not an unprimeable number, because it can be changed into a prime (40149778463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28095702 + ... + 28097130.

It is an arithmetic number, because the mean of its divisors is an integer number (630630000).

Almost surely, 2^40149778464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40149778464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480000).

40149778464 is an abundant number, since it is smaller than the sum of its proper divisors (80931181536).

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

40149778464 is a wasteful number, since it uses less digits than its factorization.

40149778464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 40149778464 in words is "forty billion, one hundred forty-nine million, seven hundred seventy-eight thousand, four hundred sixty-four".