40498312219200 has 5040 divisors, whose sum is σ = 183992041464000. Its totient is φ = 8691005030400.

The previous prime is 40498312219153. The next prime is 40498312219207. The reversal of 40498312219200 is 291221389404.

40498312219200 is a `hidden beast` number, since 4 + 0 + 498 + 3 + 122 + 19 + 20 + 0 = 666.

It is a super-2 number, since 2×40498312219200² (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 not an unprimeable number, because it can be changed into a prime (40498312219207) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 371544148746 + ... + 371544148854.

Almost surely, 2^{40498312219200} is an apocalyptic number.

40498312219200 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 40498312219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91996020732000).

40498312219200 is an abundant number, since it is smaller than the sum of its proper divisors (143493729244800).

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

40498312219200 is a wasteful number, since it uses less digits than its factorization.

40498312219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 40498312219200 in words is "forty trillion, four hundred ninety-eight billion, three hundred twelve million, two hundred nineteen thousand, two hundred".