40491248411700 has 432 divisors, whose sum is σ = 132522293933120. Its totient is φ = 10723754695680.

The previous prime is 40491248411687. The next prime is 40491248411737. The reversal of 40491248411700 is 711484219404.

40491248411700 is a `hidden beast` number, since 4 + 0 + 4 + 91 + 2 + 484 + 11 + 70 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2106824691 + ... + 2106843909.

Almost surely, 2^{40491248411700} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40491248411700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66261146966560).

40491248411700 is an abundant number, since it is smaller than the sum of its proper divisors (92031045521420).

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

40491248411700 is a wasteful number, since it uses less digits than its factorization.

40491248411700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19838 (or 19819 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 40491248411700 in words is "forty trillion, four hundred ninety-one billion, two hundred forty-eight million, four hundred eleven thousand, seven hundred".