403972689120 has 2304 divisors, whose sum is σ = 1923214067712. Its totient is φ = 68584734720.

The previous prime is 403972689091. The next prime is 403972689167. The reversal of 403972689120 is 21986279304.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2948705692 + ... + 2948705828.

It is an arithmetic number, because the mean of its divisors is an integer number (834728328).

Almost surely, 2^403972689120 is an apocalyptic number.

403972689120 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 403972689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961607033856).

403972689120 is an abundant number, since it is smaller than the sum of its proper divisors (1519241378592).

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

403972689120 is a wasteful number, since it uses less digits than its factorization.

403972689120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 403972689120 in words is "four hundred three billion, nine hundred seventy-two million, six hundred eighty-nine thousand, one hundred twenty".