49070292480 has 960 divisors, whose sum is σ = 196898397696. Its totient is φ = 11612160000.

The previous prime is 49070292433. The next prime is 49070292527. The reversal of 49070292480 is 8429207094.

49070292480 is a `hidden beast` number, since 490 + 70 + 2 + 92 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49070292433) and next prime (49070292527).

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 485844430 + ... + 485844530.

Almost surely, 2^49070292480 is an apocalyptic number.

49070292480 is a gapful number since it is divisible by the number (40) 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 49070292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98449198848).

49070292480 is an abundant number, since it is smaller than the sum of its proper divisors (147828105216).

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

49070292480 is a wasteful number, since it uses less digits than its factorization.

49070292480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 49070292480 in words is "forty-nine billion, seventy million, two hundred ninety-two thousand, four hundred eighty".