407764080240 has 160 divisors (see below), whose sum is σ = 1379218724352. Its totient is φ = 98835072000.

The previous prime is 407764080197. The next prime is 407764080263. The reversal of 407764080240 is 42080467704.

It is a junction number, because it is equal to n+sod(n) for n = 407764080192 and 407764080201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23384325 + ... + 23401755.

Almost surely, 2^407764080240 is an apocalyptic number.

407764080240 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 407764080240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689609362176).

407764080240 is an abundant number, since it is smaller than the sum of its proper divisors (971454644112).

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

407764080240 is a wasteful number, since it uses less digits than its factorization.

407764080240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26319 (or 26313 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 407764080240 in words is "four hundred seven billion, seven hundred sixty-four million, eighty thousand, two hundred forty".