1406135052 has 288 divisors, whose sum is σ = 4525248000. Its totient is φ = 372874752.

The previous prime is 1406135041. The next prime is 1406135069. The reversal of 1406135052 is 2505316041.

1406135052 is a `hidden beast` number, since 1 + 40 + 613 + 5 + 0 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 9437074 + ... + 9437222.

Almost surely, 2^1406135052 is an apocalyptic number.

1406135052 is a gapful number since it is divisible by the number (12) 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 1406135052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262624000).

1406135052 is an abundant number, since it is smaller than the sum of its proper divisors (3119112948).

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

1406135052 is a wasteful number, since it uses less digits than its factorization.

1406135052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1406135052 is about 37498.4673286789. The cubic root of 1406135052 is about 1120.3206596734.

The spelling of 1406135052 in words is "one billion, four hundred six million, one hundred thirty-five thousand, fifty-two".