398603549740032 has 2640 divisors, whose sum is σ = 1527192229812480. Its totient is φ = 100837157437440.

The previous prime is 398603549740027. The next prime is 398603549740037. The reversal of 398603549740032 is 230047945306893.

398603549740032 is a `hidden beast` number, since 3 + 9 + 8 + 60 + 3 + 54 + 97 + 400 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (398603549740027) and next prime (398603549740037).

It is a super-2 number, since 2×398603549740032² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (398603549740037) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1298382898023 + ... + 1298382898329.

It is an arithmetic number, because the mean of its divisors is an integer number (578481905232).

Almost surely, 2^{398603549740032} is an apocalyptic number.

398603549740032 is a gapful number since it is divisible by the number (32) 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 398603549740032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763596114906240).

398603549740032 is an abundant number, since it is smaller than the sum of its proper divisors (1128588680072448).

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

398603549740032 is a wasteful number, since it uses less digits than its factorization.

398603549740032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 398603549740032 in words is "three hundred ninety-eight trillion, six hundred three billion, five hundred forty-nine million, seven hundred forty thousand, thirty-two".