403678099440 has 2400 divisors, whose sum is σ = 1915710720000. Its totient is φ = 78460462080.

The previous prime is 403678099381. The next prime is 403678099463. The reversal of 403678099440 is 44990876304.

It is a happy number.

403678099440 is a `hidden beast` number, since 4 + 0 + 36 + 7 + 80 + 99 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5109849321 + ... + 5109849399.

It is an arithmetic number, because the mean of its divisors is an integer number (798212800).

Almost surely, 2^403678099440 is an apocalyptic number.

403678099440 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 403678099440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957855360000).

403678099440 is an abundant number, since it is smaller than the sum of its proper divisors (1512032620560).

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

403678099440 is a wasteful number, since it uses less digits than its factorization.

403678099440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 403678099440 in words is "four hundred three billion, six hundred seventy-eight million, ninety-nine thousand, four hundred forty".