407897380800 has 2688 divisors, whose sum is σ = 1986717286400. Its totient is φ = 79009136640.

The previous prime is 407897380799. The next prime is 407897380853. The reversal of 407897380800 is 8083798704.

407897380800 is a `hidden beast` number, since 407 + 89 + 7 + 3 + 80 + 80 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3211790337 + ... + 3211790463.

Almost surely, 2^407897380800 is an apocalyptic number.

407897380800 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 407897380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993358643200).

407897380800 is an abundant number, since it is smaller than the sum of its proper divisors (1578819905600).

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

407897380800 is a wasteful number, since it uses less digits than its factorization.

407897380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 407897380800 in words is "four hundred seven billion, eight hundred ninety-seven million, three hundred eighty thousand, eight hundred".