4045921380000 has 480 divisors, whose sum is σ = 14987895088320. Its totient is φ = 1061216640000.

The previous prime is 4045921379977. The next prime is 4045921380073. The reversal of 4045921380000 is 831295404.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4045921380000² (a number of 26 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 32878587 + ... + 33001413.

It is an arithmetic number, because the mean of its divisors is an integer number (31224781434).

Almost surely, 2^{4045921380000} is an apocalyptic number.

4045921380000 is a gapful number since it is divisible by the number (40) 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 4045921380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7493947544160).

4045921380000 is an abundant number, since it is smaller than the sum of its proper divisors (10941973708320).

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

4045921380000 is a wasteful number, since it uses less digits than its factorization.

4045921380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122927 (or 122898 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 4045921380000 in words is "four trillion, forty-five billion, nine hundred twenty-one million, three hundred eighty thousand".