40345040000400 has 120 divisors (see below), whose sum is σ = 129695286098400. Its totient is φ = 10720660715520.

The previous prime is 40345040000359. The next prime is 40345040000401. The reversal of 40345040000400 is 400004054304.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40345040000401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59061225 + ... + 59740424.

It is an arithmetic number, because the mean of its divisors is an integer number (1080794050820).

Almost surely, 2^{40345040000400} is an apocalyptic number.

40345040000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40345040000400 is an abundant number, since it is smaller than the sum of its proper divisors (89350246098000).

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

40345040000400 is a wasteful number, since it uses less digits than its factorization.

40345040000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118801953 (or 118801942 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 40345040000400 its reverse (400004054304), we get a palindrome (40745044054704).

The spelling of 40345040000400 in words is "forty trillion, three hundred forty-five billion, forty million, four hundred", and thus it is an aban number.