40078963728 has 160 divisors (see below), whose sum is σ = 119921788800. Its totient is φ = 12799987200.

The previous prime is 40078963681. The next prime is 40078963747. The reversal of 40078963728 is 82736987004.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1628958 + ... + 1653378.

It is an arithmetic number, because the mean of its divisors is an integer number (749511180).

Almost surely, 2^40078963728 is an apocalyptic number.

40078963728 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 40078963728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59960894400).

40078963728 is an abundant number, since it is smaller than the sum of its proper divisors (79842825072).

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

40078963728 is a wasteful number, since it uses less digits than its factorization.

40078963728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24598 (or 24586 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 40078963728 in words is "forty billion, seventy-eight million, nine hundred sixty-three thousand, seven hundred twenty-eight".