1414434752640 has 2560 divisors, whose sum is σ = 6593590080000. Its totient is φ = 286773903360.

The previous prime is 1414434752609. The next prime is 1414434752663. The reversal of 1414434752640 is 462574344141.

1414434752640 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 43 + 47 + 526 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6703482135 + ... + 6703482345.

It is an arithmetic number, because the mean of its divisors is an integer number (2575621125).

Almost surely, 2^{1414434752640} is an apocalyptic number.

1414434752640 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 1414434752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296795040000).

1414434752640 is an abundant number, since it is smaller than the sum of its proper divisors (5179155327360).

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

1414434752640 is a wasteful number, since it uses less digits than its factorization.

1414434752640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 1414434752640 in words is "one trillion, four hundred fourteen billion, four hundred thirty-four million, seven hundred fifty-two thousand, six hundred forty".