400121627040 has 192 divisors, whose sum is σ = 1461314131200. Its totient is φ = 102059983872.

The previous prime is 400121627039. The next prime is 400121627041. The reversal of 400121627040 is 40726121004.

400121627040 is a `hidden beast` number, since 400 + 1 + 216 + 2 + 7 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (400121627039) and next prime (400121627041).

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 = 400121626995 and 400121627013.

It is not an unprimeable number, because it can be changed into a prime (400121627041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1914135 + ... + 2112854.

It is an arithmetic number, because the mean of its divisors is an integer number (7611011100).

Almost surely, 2^400121627040 is an apocalyptic number.

400121627040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400121627040 is an abundant number, since it is smaller than the sum of its proper divisors (1061192504160).

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

400121627040 is a wasteful number, since it uses less digits than its factorization.

400121627040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027036 (or 4027022 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 400121627040 its reverse (40726121004), we get a palindrome (440847748044).

The spelling of 400121627040 in words is "four hundred billion, one hundred twenty-one million, six hundred twenty-seven thousand, forty".