40502830947840 has 640 divisors, whose sum is σ = 152987159445120. Its totient is φ = 10121719578624.

The previous prime is 40502830947829. The next prime is 40502830947851. The reversal of 40502830947840 is 4874903820504.

40502830947840 is a `hidden beast` number, since 4 + 0 + 50 + 2 + 83 + 0 + 9 + 478 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (40502830947829) and next prime (40502830947851).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273710352 + ... + 273858288.

It is an arithmetic number, because the mean of its divisors is an integer number (239042436633).

Almost surely, 2^{40502830947840} is an apocalyptic number.

40502830947840 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 40502830947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76493579722560).

40502830947840 is an abundant number, since it is smaller than the sum of its proper divisors (112484328497280).

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

40502830947840 is a wasteful number, since it uses less digits than its factorization.

40502830947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148219 (or 148197 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 40502830947840 in words is "forty trillion, five hundred two billion, eight hundred thirty million, nine hundred forty-seven thousand, eight hundred forty".