400114391040 has 2688 divisors, whose sum is σ = 1924967116800. Its totient is φ = 77396705280.

The previous prime is 400114391023. The next prime is 400114391107. The reversal of 400114391040 is 40193411004.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a junction number, because it is equal to n+sod(n) for n = 400114390995 and 400114391013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 12906915825 + ... + 12906915855.

It is an arithmetic number, because the mean of its divisors is an integer number (716133600).

Almost surely, 2^400114391040 is an apocalyptic number.

400114391040 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 400114391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962483558400).

400114391040 is an abundant number, since it is smaller than the sum of its proper divisors (1524852725760).

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

400114391040 is a wasteful number, since it uses less digits than its factorization.

400114391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 400114391040 in words is "four hundred billion, one hundred fourteen million, three hundred ninety-one thousand, forty".