40040571110400 has 924 divisors, whose sum is σ = 170069263924032. Its totient is φ = 9152100679680.

The previous prime is 40040571110389. The next prime is 40040571110411. The reversal of 40040571110400 is 401117504004.

40040571110400 is a `hidden beast` number, since 4 + 0 + 0 + 40 + 571 + 1 + 10 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40040571110389) and next prime (40040571110411).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 130483549 + ... + 130790051.

Almost surely, 2^{40040571110400} is an apocalyptic number.

40040571110400 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 40040571110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85034631962016).

40040571110400 is an abundant number, since it is smaller than the sum of its proper divisors (130028692813632).

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

40040571110400 is an equidigital number, since it uses as much as digits as its factorization.

40040571110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306558 (or 306520 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 40040571110400 its reverse (401117504004), we get a palindrome (40441688614404).

The spelling of 40040571110400 in words is "forty trillion, forty billion, five hundred seventy-one million, one hundred ten thousand, four hundred".