40012020048 has 640 divisors, whose sum is σ = 149790412800. Its totient is φ = 8858419200.

The previous prime is 40012020031. The next prime is 40012020053. The reversal of 40012020048 is 84002021004.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 127 ways as a sum of consecutive naturals, for example, 37428858 + ... + 37429926.

It is an arithmetic number, because the mean of its divisors is an integer number (234047520).

Almost surely, 2^40012020048 is an apocalyptic number.

40012020048 is a gapful number since it is divisible by the number (48) 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 40012020048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74895206400).

40012020048 is an abundant number, since it is smaller than the sum of its proper divisors (109778392752).

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

40012020048 is a wasteful number, since it uses less digits than its factorization.

40012020048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The spelling of 40012020048 in words is "forty billion, twelve million, twenty thousand, forty-eight".