407841389040 has 320 divisors, whose sum is σ = 1319376125952. Its totient is φ = 104103014400.

The previous prime is 407841389003. The next prime is 407841389041. The reversal of 407841389040 is 40983148704.

It is a super-2 number, since 2×407841389040² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407841389041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 617006310 + ... + 617006970.

Almost surely, 2^407841389040 is an apocalyptic number.

407841389040 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 407841389040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659688062976).

407841389040 is an abundant number, since it is smaller than the sum of its proper divisors (911534736912).

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

407841389040 is a wasteful number, since it uses less digits than its factorization.

407841389040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 407841389040 in words is "four hundred seven billion, eight hundred forty-one million, three hundred eighty-nine thousand, forty".