103027446740400 has 480 divisors, whose sum is σ = 407419623141888. Its totient is φ = 21671978803200.

The previous prime is 103027446740357. The next prime is 103027446740417. The reversal of 103027446740400 is 4047644720301.

It is a super-2 number, since 2×103027446740400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34720012 + ... + 37570388.

Almost surely, 2^{103027446740400} is an apocalyptic number.

103027446740400 is a gapful number since it is divisible by the number (10) 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 103027446740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203709811570944).

103027446740400 is an abundant number, since it is smaller than the sum of its proper divisors (304392176401488).

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

103027446740400 is a wasteful number, since it uses less digits than its factorization.

103027446740400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850749 (or 2850738 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 103027446740400 in words is "one hundred three trillion, twenty-seven billion, four hundred forty-six million, seven hundred forty thousand, four hundred".