240220413400 has 192 divisors, whose sum is σ = 637416345600. Its totient is φ = 83339520000.

The previous prime is 240220413373. The next prime is 240220413413. The reversal of 240220413400 is 4314022042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20284681 + ... + 20296519.

It is an arithmetic number, because the mean of its divisors is an integer number (3319876800).

Almost surely, 2^240220413400 is an apocalyptic number.

240220413400 is a gapful number since it is divisible by the number (20) 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 240220413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318708172800).

240220413400 is an abundant number, since it is smaller than the sum of its proper divisors (397195932200).

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

240220413400 is a wasteful number, since it uses less digits than its factorization.

240220413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12290 (or 12281 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 240220413400 its reverse (4314022042), we get a palindrome (244534435442).

The spelling of 240220413400 in words is "two hundred forty billion, two hundred twenty million, four hundred thirteen thousand, four hundred".