40047061824 has 1344 divisors, whose sum is σ = 164562739200. Its totient is φ = 9405849600.

The previous prime is 40047061819. The next prime is 40047061837. The reversal of 40047061824 is 42816074004.

40047061824 is a `hidden beast` number, since 4 + 0 + 0 + 470 + 6 + 182 + 4 = 666.

40047061824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 548589852 + ... + 548589924.

Almost surely, 2^40047061824 is an apocalyptic number.

40047061824 is a gapful number since it is divisible by the number (44) 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 40047061824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82281369600).

40047061824 is an abundant number, since it is smaller than the sum of its proper divisors (124515677376).

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

40047061824 is a wasteful number, since it uses less digits than its factorization.

40047061824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 40047061824 in words is "forty billion, forty-seven million, sixty-one thousand, eight hundred twenty-four".