408002419440 has 1280 divisors, whose sum is σ = 1873062973440. Its totient is φ = 79024619520.

The previous prime is 408002419399. The next prime is 408002419453. The reversal of 408002419440 is 44914200804.

408002419440 is a `hidden beast` number, since 408 + 0 + 0 + 24 + 194 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 408002419395 and 408002419404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 319500082 + ... + 319501358.

It is an arithmetic number, because the mean of its divisors is an integer number (1463330448).

Almost surely, 2^408002419440 is an apocalyptic number.

408002419440 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 408002419440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936531486720).

408002419440 is an abundant number, since it is smaller than the sum of its proper divisors (1465060554000).

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

408002419440 is a wasteful number, since it uses less digits than its factorization.

408002419440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 408002419440 in words is "four hundred eight billion, two million, four hundred nineteen thousand, four hundred forty".