40008048480000 has 540 divisors, whose sum is σ = 144424570818528. Its totient is φ = 10648135680000.

The previous prime is 40008048479969. The next prime is 40008048480061. The reversal of 40008048480000 is 8484080004.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 750213337 + ... + 750266663.

Almost surely, 2^{40008048480000} is an apocalyptic number.

40008048480000 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 40008048480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72212285409264).

40008048480000 is an abundant number, since it is smaller than the sum of its proper divisors (104416522338528).

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

40008048480000 is an equidigital number, since it uses as much as digits as its factorization.

40008048480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53890 (or 53858 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 40008048480000 in words is "forty trillion, eight billion, forty-eight million, four hundred eighty thousand".