4954055040 has 512 divisors, whose sum is σ = 19476288000. Its totient is φ = 1180016640.

The previous prime is 4954055039. The next prime is 4954055063. The reversal of 4954055040 is 405504594.

It is a super-2 number, since 2×4954055040² = 49085322678698803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4954054986 and 4954055004.

It is a congruent number.

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, 12735166 + ... + 12735554.

It is an arithmetic number, because the mean of its divisors is an integer number (38039625).

Almost surely, 2^4954055040 is an apocalyptic number.

4954055040 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 4954055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9738144000).

4954055040 is an abundant number, since it is smaller than the sum of its proper divisors (14522232960).

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

4954055040 is a wasteful number, since it uses less digits than its factorization.

4954055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 4954055040 is about 70385.0484122871. The cubic root of 4954055040 is about 1704.7221695945.

The spelling of 4954055040 in words is "four billion, nine hundred fifty-four million, fifty-five thousand, forty".