381016742400 has 1200 divisors, whose sum is σ = 1647387346176. Its totient is φ = 85160263680.

The previous prime is 381016742347. The next prime is 381016742413. The reversal of 381016742400 is 4247610183.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 341106642 + ... + 341107758.

Almost surely, 2^381016742400 is an apocalyptic number.

381016742400 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 381016742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823693673088).

381016742400 is an abundant number, since it is smaller than the sum of its proper divisors (1266370603776).

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

381016742400 is a wasteful number, since it uses less digits than its factorization.

381016742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 381016742400 in words is "three hundred eighty-one billion, sixteen million, seven hundred forty-two thousand, four hundred".