29414960640 has 240 divisors, whose sum is σ = 109709728128. Its totient is φ = 7240531968.

The previous prime is 29414960579. The next prime is 29414960647. The reversal of 29414960640 is 4606941492.

29414960640 is a `hidden beast` number, since 29 + 4 + 14 + 9 + 606 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29414960647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250417 + ... + 348623.

Almost surely, 2^29414960640 is an apocalyptic number.

29414960640 is a gapful number since it is divisible by the number (20) 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 29414960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54854864064).

29414960640 is an abundant number, since it is smaller than the sum of its proper divisors (80294767488).

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

29414960640 is a wasteful number, since it uses less digits than its factorization.

29414960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98249 (or 98230 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 29414960640 in words is "twenty-nine billion, four hundred fourteen million, nine hundred sixty thousand, six hundred forty".