40219834314240 has 2560 divisors, whose sum is σ = 186444666777600. Its totient is φ = 7995748515840.

The previous prime is 40219834314181. The next prime is 40219834314343. The reversal of 40219834314240 is 4241343891204.

40219834314240 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 98 + 3 + 4 + 314 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 255 ways as a sum of consecutive naturals, for example, 6407489982 + ... + 6407496258.

It is an arithmetic number, because the mean of its divisors is an integer number (72829947960).

Almost surely, 2^{40219834314240} is an apocalyptic number.

40219834314240 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 40219834314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93222333388800).

40219834314240 is an abundant number, since it is smaller than the sum of its proper divisors (146224832463360).

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

40219834314240 is a wasteful number, since it uses less digits than its factorization.

40219834314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6393 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 40219834314240 in words is "forty trillion, two hundred nineteen billion, eight hundred thirty-four million, three hundred fourteen thousand, two hundred forty".