40086148320 has 480 divisors, whose sum is σ = 149936482080. Its totient is φ = 10057789440.

The previous prime is 40086148283. The next prime is 40086148327. The reversal of 40086148320 is 2384168004.

40086148320 is a `hidden beast` number, since 4 + 0 + 0 + 8 + 614 + 8 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40086148327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42599050 + ... + 42599990.

It is an arithmetic number, because the mean of its divisors is an integer number (312367671).

Almost surely, 2^40086148320 is an apocalyptic number.

40086148320 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 40086148320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74968241040).

40086148320 is an abundant number, since it is smaller than the sum of its proper divisors (109850333760).

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

40086148320 is a wasteful number, since it uses less digits than its factorization.

40086148320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 40086148320 in words is "forty billion, eighty-six million, one hundred forty-eight thousand, three hundred twenty".