403150284730368 has 936 divisors, whose sum is σ = 1424731213616256. Its totient is φ = 109366109798400.

The previous prime is 403150284730363. The next prime is 403150284730393. The reversal of 403150284730368 is 863037482051304.

It is a happy number.

403150284730368 is a `hidden beast` number, since 4 + 0 + 3 + 1 + 50 + 284 + 7 + 303 + 6 + 8 = 666.

It is a super-2 number, since 2×403150284730368² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (403150284730363) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2967742128 + ... + 2967877968.

It is an arithmetic number, because the mean of its divisors is an integer number (1522148732496).

Almost surely, 2^{403150284730368} is an apocalyptic number.

403150284730368 is a gapful number since it is divisible by the number (48) 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 403150284730368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712365606808128).

403150284730368 is an abundant number, since it is smaller than the sum of its proper divisors (1021580928885888).

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

403150284730368 is a wasteful number, since it uses less digits than its factorization.

403150284730368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135969 (or 135937 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 403150284730368 in words is "four hundred three trillion, one hundred fifty billion, two hundred eighty-four million, seven hundred thirty thousand, three hundred sixty-eight".