40728607920 has 2160 divisors, whose sum is σ = 203391482112. Its totient is φ = 7472424960.

The previous prime is 40728607883. The next prime is 40728607937. The reversal of 40728607920 is 2970682704.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1770809029 + ... + 1770809051.

Almost surely, 2^40728607920 is an apocalyptic number.

40728607920 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 40728607920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101695741056).

40728607920 is an abundant number, since it is smaller than the sum of its proper divisors (162662874192).

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

40728607920 is a wasteful number, since it uses less digits than its factorization.

40728607920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 40728607920 in words is "forty billion, seven hundred twenty-eight million, six hundred seven thousand, nine hundred twenty".