1400414132040 has 256 divisors, whose sum is σ = 5251968184320. Its totient is φ = 290214282240.

The previous prime is 1400414131979. The next prime is 1400414132077. The reversal of 1400414132040 is 402314140041.

It is a super-2 number, since 2×1400414132040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1400414132040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3243357 + ... + 3649683.

It is an arithmetic number, because the mean of its divisors is an integer number (20515500720).

Almost surely, 2^{1400414132040} is an apocalyptic number.

1400414132040 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 1400414132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625984092160).

1400414132040 is an abundant number, since it is smaller than the sum of its proper divisors (3851554052280).

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

1400414132040 is a wasteful number, since it uses less digits than its factorization.

1400414132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406732 (or 406728 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1400414132040 its reverse (402314140041), we get a palindrome (1802728272081).

The spelling of 1400414132040 in words is "one trillion, four hundred billion, four hundred fourteen million, one hundred thirty-two thousand, forty".