407086883040 has 96 divisors (see below), whose sum is σ = 1283871768480. Its totient is φ = 108425447424.

The previous prime is 407086882957. The next prime is 407086883051. The reversal of 407086883040 is 40388680704.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113599 + ... + 909438.

It is an arithmetic number, because the mean of its divisors is an integer number (13373664255).

Almost surely, 2^407086883040 is an apocalyptic number.

407086883040 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 407086883040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641935884240).

407086883040 is an abundant number, since it is smaller than the sum of its proper divisors (876784885440).

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

407086883040 is a wasteful number, since it uses less digits than its factorization.

407086883040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023884 (or 1023876 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 407086883040 in words is "four hundred seven billion, eighty-six million, eight hundred eighty-three thousand, forty".