42657151121400 has 192 divisors, whose sum is σ = 132444090000000. Its totient is φ = 11357447339520.

The previous prime is 42657151121383. The next prime is 42657151121401. The reversal of 42657151121400 is 412115175624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42657151121401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3325050186 + ... + 3325063014.

It is an arithmetic number, because the mean of its divisors is an integer number (689812968750).

Almost surely, 2^{42657151121400} is an apocalyptic number.

42657151121400 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 42657151121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66222045000000).

42657151121400 is an abundant number, since it is smaller than the sum of its proper divisors (89786938878600).

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

42657151121400 is a wasteful number, since it uses less digits than its factorization.

42657151121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21086 (or 21077 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 42657151121400 in words is "forty-two trillion, six hundred fifty-seven billion, one hundred fifty-one million, one hundred twenty-one thousand, four hundred".