83415128140400 has 120 divisors (see below), whose sum is σ = 229307100072960. Its totient is φ = 28565384129280.

The previous prime is 83415128140397. The next prime is 83415128140403. The reversal of 83415128140400 is 404182151438.

It is an interprime number because it is at equal distance from previous prime (83415128140397) and next prime (83415128140403).

It is a super-2 number, since 2×83415128140400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83415128140403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15404744 + ... + 20103143.

It is an arithmetic number, because the mean of its divisors is an integer number (1910892500608).

Almost surely, 2^{83415128140400} is an apocalyptic number.

83415128140400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83415128140400 is an abundant number, since it is smaller than the sum of its proper divisors (145891971932560).

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

83415128140400 is a wasteful number, since it uses less digits than its factorization.

83415128140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35508751 (or 35508740 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The spelling of 83415128140400 in words is "eighty-three trillion, four hundred fifteen billion, one hundred twenty-eight million, one hundred forty thousand, four hundred".