40280248320 has 832 divisors, whose sum is σ = 150599070720. Its totient is φ = 9116319744.

The previous prime is 40280248303. The next prime is 40280248331. The reversal of 40280248320 is 2384208204.

It is a tau number, because it is divible by the number of its divisors (832).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 857026537 + ... + 857026583.

Almost surely, 2^40280248320 is an apocalyptic number.

40280248320 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 40280248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75299535360).

40280248320 is an abundant number, since it is smaller than the sum of its proper divisors (110318822400).

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

40280248320 is a wasteful number, since it uses less digits than its factorization.

40280248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 40280248320 in words is "forty billion, two hundred eighty million, two hundred forty-eight thousand, three hundred twenty".