40472499240000 has 945 divisors, whose sum is σ = 151868666118169. Its totient is φ = 10301026560000.

The previous prime is 40472499239981. The next prime is 40472499240013. The reversal of 40472499240000 is 4299427404.

The square root of 40472499240000 is 6361800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 36514755049536 + 3957744190464 = 6042744^2 + 1989408^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 87792839770 + ... + 87792840230.

Almost surely, 2^{40472499240000} is an apocalyptic number.

40472499240000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40472499240000 is the 6361800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40472499240000

40472499240000 is an abundant number, since it is smaller than the sum of its proper divisors (111396166878169).

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

40472499240000 is an frugal number, since it uses more digits than its factorization.

40472499240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 40472499240000 in words is "forty trillion, four hundred seventy-two billion, four hundred ninety-nine million, two hundred forty thousand".