10406499863760 has 2880 divisors, whose sum is σ = 49893153133824. Its totient is φ = 1981498982400.

The previous prime is 10406499863731. The next prime is 10406499863779. The reversal of 10406499863760 is 6736899460401.

10406499863760 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 6 + 499 + 86 + 3 + 7 + 60 = 666.

It is a super-2 number, since 2×10406499863760² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 32828075122 + ... + 32828075438.

Almost surely, 2^{10406499863760} is an apocalyptic number.

10406499863760 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 10406499863760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24946576566912).

10406499863760 is an abundant number, since it is smaller than the sum of its proper divisors (39486653270064).

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

10406499863760 is a wasteful number, since it uses less digits than its factorization.

10406499863760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 10406499863760 in words is "ten trillion, four hundred six billion, four hundred ninety-nine million, eight hundred sixty-three thousand, seven hundred sixty".