7165942001400 has 768 divisors, whose sum is σ = 28580570726400. Its totient is φ = 1444614912000.

The previous prime is 7165942001359. The next prime is 7165942001417. The reversal of 7165942001400 is 41002495617.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 133688605 + ... + 133742195.

It is an arithmetic number, because the mean of its divisors is an integer number (37214284800).

Almost surely, 2^{7165942001400} is an apocalyptic number.

7165942001400 is a gapful number since it is divisible by the number (70) 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 7165942001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14290285363200).

7165942001400 is an abundant number, since it is smaller than the sum of its proper divisors (21414628725000).

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

7165942001400 is a wasteful number, since it uses less digits than its factorization.

7165942001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53740 (or 53731 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 7165942001400 in words is "seven trillion, one hundred sixty-five billion, nine hundred forty-two million, one thousand, four hundred".