40249195315200 has 2880 divisors, whose sum is σ = 166008841420800. Its totient is φ = 9516928204800.

The previous prime is 40249195315177. The next prime is 40249195315207. The reversal of 40249195315200 is 251359194204.

It is a happy number.

40249195315200 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 9 + 1 + 95 + 31 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×40249195315200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40249195315207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 241013145517 + ... + 241013145683.

Almost surely, 2^{40249195315200} is an apocalyptic number.

40249195315200 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 40249195315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83004420710400).

40249195315200 is an abundant number, since it is smaller than the sum of its proper divisors (125759646105600).

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

40249195315200 is a wasteful number, since it uses less digits than its factorization.

40249195315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 40249195315200 in words is "forty trillion, two hundred forty-nine billion, one hundred ninety-five million, three hundred fifteen thousand, two hundred".