40650999459840 has 2496 divisors, whose sum is σ = 186534500106240. Its totient is φ = 7932684533760.

The previous prime is 40650999459799. The next prime is 40650999459929. The reversal of 40650999459840 is 4895499905604.

40650999459840 is a `hidden beast` number, since 4 + 0 + 6 + 5 + 0 + 9 + 99 + 459 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34246839727 + ... + 34246840913.

It is an arithmetic number, because the mean of its divisors is an integer number (74733373440).

Almost surely, 2^{40650999459840} is an apocalyptic number.

40650999459840 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 40650999459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93267250053120).

40650999459840 is an abundant number, since it is smaller than the sum of its proper divisors (145883500646400).

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

40650999459840 is a wasteful number, since it uses less digits than its factorization.

40650999459840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

The spelling of 40650999459840 in words is "forty trillion, six hundred fifty billion, nine hundred ninety-nine million, four hundred fifty-nine thousand, eight hundred forty".