42400144154400 has 288 divisors, whose sum is σ = 140294211220800. Its totient is φ = 11119823769600.

The previous prime is 42400144154387. The next prime is 42400144154413. The reversal of 42400144154400 is 445144100424.

It is an interprime number because it is at equal distance from previous prime (42400144154387) and next prime (42400144154413).

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, 1408206546 + ... + 1408236654.

It is an arithmetic number, because the mean of its divisors is an integer number (487132677850).

Almost surely, 2^{42400144154400} is an apocalyptic number.

42400144154400 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 42400144154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70147105610400).

42400144154400 is an abundant number, since it is smaller than the sum of its proper divisors (97894067066400).

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

42400144154400 is a wasteful number, since it uses less digits than its factorization.

42400144154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39812 (or 39799 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

Adding to 42400144154400 its reverse (445144100424), we get a palindrome (42845288254824).

The spelling of 42400144154400 in words is "forty-two trillion, four hundred billion, one hundred forty-four million, one hundred fifty-four thousand, four hundred".