10407191040 has 400 divisors, whose sum is σ = 38501464320. Its totient is φ = 2684067840.

The previous prime is 10407190999. The next prime is 10407191051. The reversal of 10407191040 is 4019170401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10407190995 and 10407191013.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6427351 + ... + 6428969.

Almost surely, 2^10407191040 is an apocalyptic number.

10407191040 is a gapful number since it is divisible by the number (10) 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 10407191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19250732160).

10407191040 is an abundant number, since it is smaller than the sum of its proper divisors (28094273280).

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

10407191040 is an equidigital number, since it uses as much as digits as its factorization.

10407191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 10407191040 in words is "ten billion, four hundred seven million, one hundred ninety-one thousand, forty".