40102504103328 has 96 divisors (see below), whose sum is σ = 107789647021056. Its totient is φ = 13047846728448.

The previous prime is 40102504103327. The next prime is 40102504103351. The reversal of 40102504103328 is 82330140520104.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (40102504103327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2871775 + ... + 9404897.

It is an arithmetic number, because the mean of its divisors is an integer number (1122808823136).

Almost surely, 2^{40102504103328} is an apocalyptic number.

40102504103328 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 40102504103328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53894823510528).

40102504103328 is an abundant number, since it is smaller than the sum of its proper divisors (67687142917728).

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

40102504103328 is a wasteful number, since it uses less digits than its factorization.

40102504103328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6534666 (or 6534658 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 40102504103328 in words is "forty trillion, one hundred two billion, five hundred four million, one hundred three thousand, three hundred twenty-eight".