1014200040 has 192 divisors, whose sum is σ = 3568017600. Its totient is φ = 229942272.

The previous prime is 1014199987. The next prime is 1014200041. The reversal of 1014200040 is 400024101.

It is a super-2 number, since 2×1014200040² = 2057203442272003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1014199989 and 1014200025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014200041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804931 + ... + 806189.

It is an arithmetic number, because the mean of its divisors is an integer number (18583425).

Almost surely, 2^1014200040 is an apocalyptic number.

1014200040 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 1014200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784008800).

1014200040 is an abundant number, since it is smaller than the sum of its proper divisors (2553817560).

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

1014200040 is a wasteful number, since it uses less digits than its factorization.

1014200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1014200040 is about 31846.5075008234. The cubic root of 1014200040 is about 1004.7111171877.

Adding to 1014200040 its reverse (400024101), we get a palindrome (1414224141).

The spelling of 1014200040 in words is "one billion, fourteen million, two hundred thousand, forty".