438157783350000 has 2880 divisors, whose sum is σ = 1851873614502912. Its totient is φ = 98223943680000.

The previous prime is 438157783349989. The next prime is 438157783350017. The reversal of 438157783350000 is 53387751834.

It is a happy number.

438157783350000 is a `hidden beast` number, since 4 + 3 + 8 + 1 + 57 + 7 + 83 + 3 + 500 + 0 + 0 = 666.

It is a super-2 number, since 2×438157783350000² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 575 ways as a sum of consecutive naturals, for example, 1427224049847 + ... + 1427224050153.

Almost surely, 2^{438157783350000} is an apocalyptic number.

438157783350000 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 438157783350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925936807251456).

438157783350000 is an abundant number, since it is smaller than the sum of its proper divisors (1413715831152912).

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

438157783350000 is an equidigital number, since it uses as much as digits as its factorization.

438157783350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 438157783350000 in words is "four hundred thirty-eight trillion, one hundred fifty-seven billion, seven hundred eighty-three million, three hundred fifty thousand".