40048440084400 has 240 divisors, whose sum is σ = 112702967405568. Its totient is φ = 13513368064000.

The previous prime is 40048440084391. The next prime is 40048440084421. The reversal of 40048440084400 is 448004484004.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1540329 + ... + 9081271.

Almost surely, 2^{40048440084400} is an apocalyptic number.

40048440084400 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 40048440084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56351483702784).

40048440084400 is an abundant number, since it is smaller than the sum of its proper divisors (72654527321168).

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

40048440084400 is a wasteful number, since it uses less digits than its factorization.

40048440084400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7541060 (or 7541049 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 40048440084400 in words is "forty trillion, forty-eight billion, four hundred forty million, eighty-four thousand, four hundred".