38619141293400 has 192 divisors, whose sum is σ = 124135441489920. Its totient is φ = 9921537331200.

The previous prime is 38619141293309. The next prime is 38619141293413. The reversal of 38619141293400 is 439214191683.

It is a happy number.

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, 507577 + ... + 8803176.

It is an arithmetic number, because the mean of its divisors is an integer number (646538757760).

Almost surely, 2^{38619141293400} is an apocalyptic number.

38619141293400 is a gapful number since it is divisible by the number (30) 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 38619141293400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62067720744960).

38619141293400 is an abundant number, since it is smaller than the sum of its proper divisors (85516300196520).

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

38619141293400 is a wasteful number, since it uses less digits than its factorization.

38619141293400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9311026 (or 9311017 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 38619141293400 in words is "thirty-eight trillion, six hundred nineteen billion, one hundred forty-one million, two hundred ninety-three thousand, four hundred".