403098761472 has 576 divisors, whose sum is σ = 1265880268800. Its totient is φ = 112585973760.

The previous prime is 403098761431. The next prime is 403098761473. The reversal of 403098761472 is 274167890304.

403098761472 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×403098761472² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (403098761473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1052476993 + ... + 1052477375.

It is an arithmetic number, because the mean of its divisors is an integer number (2197708800).

Almost surely, 2^403098761472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403098761472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632940134400).

403098761472 is an abundant number, since it is smaller than the sum of its proper divisors (862781507328).

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

403098761472 is a wasteful number, since it uses less digits than its factorization.

403098761472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 403098761472 in words is "four hundred three billion, ninety-eight million, seven hundred sixty-one thousand, four hundred seventy-two".