40115411451104 has 48 divisors (see below), whose sum is σ = 86336831992320. Its totient is φ = 18196210469760.

The previous prime is 40115411451083. The next prime is 40115411451107.

40115411451104 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40115411451107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118791974 + ... + 119129189.

It is an arithmetic number, because the mean of its divisors is an integer number (1798683999840).

Almost surely, 2^{40115411451104} is an apocalyptic number.

40115411451104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40115411451104 is an abundant number, since it is smaller than the sum of its proper divisors (46221420541216).

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

40115411451104 is a wasteful number, since it uses less digits than its factorization.

40115411451104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237921663 (or 237921655 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 32.

It can be divided in two parts, 4011541 and 1451104, that added together give a palindrome (5462645).

The spelling of 40115411451104 in words is "forty trillion, one hundred fifteen billion, four hundred eleven million, four hundred fifty-one thousand, one hundred four".