40399169126400 has 1848 divisors, whose sum is σ = 172812531355584. Its totient is φ = 9172942848000.

The previous prime is 40399169126357. The next prime is 40399169126401. The reversal of 40399169126400 is 462196199304.

It is a happy number.

40399169126400 is a `hidden beast` number, since 40 + 3 + 9 + 91 + 6 + 91 + 26 + 400 = 666.

It is a super-2 number, since 2×40399169126400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40399169126401) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 267544166325 + ... + 267544166475.

Almost surely, 2^{40399169126400} is an apocalyptic number.

40399169126400 is a gapful number since it is divisible by the number (40) 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 40399169126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86406265677792).

40399169126400 is an abundant number, since it is smaller than the sum of its proper divisors (132413362229184).

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

40399169126400 is an frugal number, since it uses more digits than its factorization.

40399169126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 40399169126400 in words is "forty trillion, three hundred ninety-nine billion, one hundred sixty-nine million, one hundred twenty-six thousand, four hundred".