10199565108040 has 768 divisors, whose sum is σ = 31593576960000. Its totient is φ = 2919193804800.

The previous prime is 10199565108001. The next prime is 10199565108067. The reversal of 10199565108040 is 4080156599101.

It is a happy number.

It is a super-2 number, since 2×10199565108040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3710280586 + ... + 3710283334.

It is an arithmetic number, because the mean of its divisors is an integer number (41137470000).

Almost surely, 2^{10199565108040} is an apocalyptic number.

10199565108040 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 10199565108040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15796788480000).

10199565108040 is an abundant number, since it is smaller than the sum of its proper divisors (21394011851960).

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

10199565108040 is a wasteful number, since it uses less digits than its factorization.

10199565108040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 49.

The spelling of 10199565108040 in words is "ten trillion, one hundred ninety-nine billion, five hundred sixty-five million, one hundred eight thousand, forty".