37842454278144 has 416 divisors, whose sum is σ = 114201936288000. Its totient is φ = 12381195534336.

The previous prime is 37842454278121. The next prime is 37842454278227. The reversal of 37842454278144 is 44187245424873.

37842454278144 is a `hidden beast` number, since 3 + 7 + 8 + 4 + 2 + 4 + 542 + 7 + 81 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1289819827 + ... + 1289849165.

Almost surely, 2^{37842454278144} 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 37842454278144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57100968144000).

37842454278144 is an abundant number, since it is smaller than the sum of its proper divisors (76359482009856).

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

37842454278144 is a wasteful number, since it uses less digits than its factorization.

37842454278144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29588 (or 29560 counting only the distinct ones).

The product of its digits is 192675840, while the sum is 63.

The spelling of 37842454278144 in words is "thirty-seven trillion, eight hundred forty-two billion, four hundred fifty-four million, two hundred seventy-eight thousand, one hundred forty-four".