40448328480 has 480 divisors, whose sum is σ = 172744742016. Its totient is φ = 8701157376.

The previous prime is 40448328461. The next prime is 40448328541. The reversal of 40448328480 is 8482384404.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×40448328480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1529127 + ... + 1555353.

Almost surely, 2^40448328480 is an apocalyptic number.

40448328480 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 40448328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86372371008).

40448328480 is an abundant number, since it is smaller than the sum of its proper divisors (132296413536).

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

40448328480 is a wasteful number, since it uses less digits than its factorization.

40448328480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26278 (or 26261 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 40448328480 in words is "forty billion, four hundred forty-eight million, three hundred twenty-eight thousand, four hundred eighty".