403671745120 has 288 divisors, whose sum is σ = 1185866329536. Its totient is φ = 129153024000.

The previous prime is 403671745049. The next prime is 403671745133. The reversal of 403671745120 is 21547176304.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7365820 + ... + 7420420.

It is an arithmetic number, because the mean of its divisors is an integer number (4117591422).

Almost surely, 2^403671745120 is an apocalyptic number.

403671745120 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 403671745120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592933164768).

403671745120 is an abundant number, since it is smaller than the sum of its proper divisors (782194584416).

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

403671745120 is a wasteful number, since it uses less digits than its factorization.

403671745120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54694 (or 54679 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 403671745120 in words is "four hundred three billion, six hundred seventy-one million, seven hundred forty-five thousand, one hundred twenty".