8400467040 has 576 divisors, whose sum is σ = 33064754688. Its totient is φ = 1754726400.

The previous prime is 8400467039. The next prime is 8400467051. The reversal of 8400467040 is 407640048.

It is a junction number, because it is equal to n+sod(n) for n = 8400466992 and 8400467010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39812535 + ... + 39812745.

It is an arithmetic number, because the mean of its divisors is an integer number (57404088).

Almost surely, 2^8400467040 is an apocalyptic number.

8400467040 is a gapful number since it is divisible by the number (80) 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 8400467040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16532377344).

8400467040 is an abundant number, since it is smaller than the sum of its proper divisors (24664287648).

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

8400467040 is a wasteful number, since it uses less digits than its factorization.

8400467040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 8400467040 is about 91654.0617757882. The cubic root of 8400467040 is about 2032.8303873565.

The spelling of 8400467040 in words is "eight billion, four hundred million, four hundred sixty-seven thousand, forty".