1101377424000 has 1024 divisors, whose sum is σ = 4414014259200. Its totient is φ = 237588480000.

The previous prime is 1101377423977. The next prime is 1101377424047. The reversal of 1101377424000 is 4247731011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 427054711 + ... + 427057289.

It is an arithmetic number, because the mean of its divisors is an integer number (4310560800).

Almost surely, 2^{1101377424000} is an apocalyptic number.

1101377424000 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 1101377424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207007129600).

1101377424000 is an abundant number, since it is smaller than the sum of its proper divisors (3312636835200).

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

1101377424000 is a wasteful number, since it uses less digits than its factorization.

1101377424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The spelling of 1101377424000 in words is "one trillion, one hundred one billion, three hundred seventy-seven million, four hundred twenty-four thousand".