400145212024140 has 288 divisors, whose sum is σ = 1296387275420160. Its totient is φ = 91895900405760.

The previous prime is 400145212024087. The next prime is 400145212024147. The reversal of 400145212024140 is 41420212541004.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 400145212024098 and 400145212024107.

It is not an unprimeable number, because it can be changed into a prime (400145212024147) 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, 6105605452 + ... + 6105670988.

It is an arithmetic number, because the mean of its divisors is an integer number (4501344706320).

Almost surely, 2^{400145212024140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400145212024140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648193637710080).

400145212024140 is an abundant number, since it is smaller than the sum of its proper divisors (896242063396020).

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

400145212024140 is a wasteful number, since it uses less digits than its factorization.

400145212024140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109853 (or 109840 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 400145212024140 its reverse (41420212541004), we get a palindrome (441565424565144).

The spelling of 400145212024140 in words is "four hundred trillion, one hundred forty-five billion, two hundred twelve million, twenty-four thousand, one hundred forty".