1040720408000 has 672 divisors, whose sum is σ = 3243068756928. Its totient is φ = 327914496000.

The previous prime is 1040720407999. The next prime is 1040720408003. The reversal of 1040720408000 is 8040270401.

1040720408000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040720408003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2257527770 + ... + 2257528230.

It is an arithmetic number, because the mean of its divisors is an integer number (4825995174).

Almost surely, 2^{1040720408000} is an apocalyptic number.

1040720408000 is a gapful number since it is divisible by the number (10) 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 1040720408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621534378464).

1040720408000 is an abundant number, since it is smaller than the sum of its proper divisors (2202348348928).

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

1040720408000 is a wasteful number, since it uses less digits than its factorization.

1040720408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

Adding to 1040720408000 its reverse (8040270401), we get a palindrome (1048760678401).

The spelling of 1040720408000 in words is "one trillion, forty billion, seven hundred twenty million, four hundred eight thousand".