3132249791040 has 896 divisors, whose sum is σ = 12177174528000. Its totient is φ = 754906521600.

The previous prime is 3132249791017. The next prime is 3132249791089. The reversal of 3132249791040 is 401979422313.

3132249791040 is a `hidden beast` number, since 3 + 1 + 32 + 2 + 497 + 91 + 0 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 361311826 + ... + 361320494.

Almost surely, 2^{3132249791040} is an apocalyptic number.

3132249791040 is a gapful number since it is divisible by the number (30) 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 3132249791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088587264000).

3132249791040 is an abundant number, since it is smaller than the sum of its proper divisors (9044924736960).

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

3132249791040 is a wasteful number, since it uses less digits than its factorization.

3132249791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8816 (or 8800 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 3132249791040 in words is "three trillion, one hundred thirty-two billion, two hundred forty-nine million, seven hundred ninety-one thousand, forty".