363151401840 has 200 divisors, whose sum is σ = 1267886492928. Its totient is φ = 96333027840.

The previous prime is 363151401829. The next prime is 363151401841. The reversal of 363151401840 is 48104151363.

363151401840 is a `hidden beast` number, since 3 + 63 + 1 + 514 + 0 + 1 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 363151401795 and 363151401804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363151401841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1090974 + ... + 1384386.

Almost surely, 2^363151401840 is an apocalyptic number.

363151401840 is a gapful number since it is divisible by the number (30) 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 363151401840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633943246464).

363151401840 is an abundant number, since it is smaller than the sum of its proper divisors (904735091088).

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

363151401840 is a wasteful number, since it uses less digits than its factorization.

363151401840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293629 (or 293614 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 363151401840 in words is "three hundred sixty-three billion, one hundred fifty-one million, four hundred one thousand, eight hundred forty".