40978914736032 has 768 divisors, whose sum is σ = 152163204480000. Its totient is φ = 10659503038464.

The previous prime is 40978914736003. The next prime is 40978914736037. The reversal of 40978914736032 is 23063741987904.

40978914736032 is a `hidden beast` number, since 4 + 0 + 9 + 7 + 8 + 9 + 14 + 7 + 3 + 603 + 2 = 666.

40978914736032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (40978914736037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 281165194 + ... + 281310902.

It is an arithmetic number, because the mean of its divisors is an integer number (198129172500).

Almost surely, 2^{40978914736032} is an apocalyptic number.

40978914736032 is a gapful number since it is divisible by the number (42) 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 40978914736032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76081602240000).

40978914736032 is an abundant number, since it is smaller than the sum of its proper divisors (111184289743968).

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

40978914736032 is a wasteful number, since it uses less digits than its factorization.

40978914736032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145835 (or 145807 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 40978914736032 in words is "forty trillion, nine hundred seventy-eight billion, nine hundred fourteen million, seven hundred thirty-six thousand, thirty-two".