1400100120 has 384 divisors, whose sum is σ = 5147712000. Its totient is φ = 337478400.

The previous prime is 1400100109. The next prime is 1400100131. The reversal of 1400100120 is 210010041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1400100109) and next prime (1400100131).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 19719685 + ... + 19719755.

It is an arithmetic number, because the mean of its divisors is an integer number (13405500).

Almost surely, 2^1400100120 is an apocalyptic number.

1400100120 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 1400100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573856000).

1400100120 is an abundant number, since it is smaller than the sum of its proper divisors (3747611880).

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

1400100120 is a wasteful number, since it uses less digits than its factorization.

1400100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1400100120 is about 37417.9117535974. The cubic root of 1400100120 is about 1118.7156088593.

Adding to 1400100120 its reverse (210010041), we get a palindrome (1610110161).

The spelling of 1400100120 in words is "one billion, four hundred million, one hundred thousand, one hundred twenty".