10408014072 has 96 divisors (see below), whose sum is σ = 28791126000. Its totient is φ = 3395478528.

The previous prime is 10408014053. The next prime is 10408014101. The reversal of 10408014072 is 27041080401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1649179 + ... + 1655477.

Almost surely, 2^10408014072 is an apocalyptic number.

10408014072 is a gapful number since it is divisible by the number (12) 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 10408014072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14395563000).

10408014072 is an abundant number, since it is smaller than the sum of its proper divisors (18383111928).

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

10408014072 is a wasteful number, since it uses less digits than its factorization.

10408014072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6797 (or 6790 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 10408014072 its reverse (27041080401), we get a palindrome (37449094473).

The spelling of 10408014072 in words is "ten billion, four hundred eight million, fourteen thousand, seventy-two".