42214041101400 has 96 divisors (see below), whose sum is σ = 149558317059840. Its totient is φ = 9648923679360.

The previous prime is 42214041101383. The next prime is 42214041101417. The reversal of 42214041101400 is 410114041224.

It is an interprime number because it is at equal distance from previous prime (42214041101383) and next prime (42214041101417).

It is a super-2 number, since 2×42214041101400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5025476884 + ... + 5025485283.

It is an arithmetic number, because the mean of its divisors is an integer number (1557899136040).

Almost surely, 2^{42214041101400} is an apocalyptic number.

42214041101400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42214041101400 is an abundant number, since it is smaller than the sum of its proper divisors (107344275958440).

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

42214041101400 is a wasteful number, since it uses less digits than its factorization.

42214041101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10050962193 (or 10050962184 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 42214041101400 its reverse (410114041224), we get a palindrome (42624155142624).

The spelling of 42214041101400 in words is "forty-two trillion, two hundred fourteen billion, forty-one million, one hundred one thousand, four hundred".